Mathematics Stack Exchange

0

votes

0

answers

2

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Concrete Bezout's Theorem Calculation

abstract-algebra algebraic-geometry algebraic-curves

asked 3 mins ago Marik 303

0

votes

0

answers

11

views

Basics in Complex Analysis

complex-analysis

asked 6 mins ago Harsh Vardhan Singh 317

2

votes

0

answers

13

views

$n$ balls into $n$ urns until there is no empty urn.

combinatorics expected-value conditional-expectation balls-in-bins

asked 7 mins ago Emre Per 289

0

votes

1

answer

10

views

One-to-one functions on a closed interval

calculus continuity

modified 8 mins ago Sat 75

1

vote

0

answers

26

views

Proving from a sequence of real numbers

real-analysis

modified 8 mins ago Fred sapphier 21

0

votes

0

answers

8

views

How to determine the value of f(x) given a restriction on its domain

discrete-mathematics

asked 9 mins ago Kevin Khong 15

0

votes

0

answers

11

views

Find the coordinates of the point on the curve where the tangent is parallel to the x-axis. $dy/dx=\frac{2\sin\theta}{2\sin\theta-1}$

calculus derivatives curves

modified 11 mins ago mary james 175

2

votes

3

answers

41

views

Any route to attack a high school competition-level geometry area problem?

euclidean-geometry

answered 11 mins ago Mastermind817 363

0

votes

0

answers

6

views

Plotting on Matlab

roots matlab tangent-line

modified 13 mins ago Leucippus 22.2k

0

votes

0

answers

5

views

A lattice coordinate elementary problem

algebra-precalculus integer-lattices

asked 14 mins ago Double Knot 61

0

votes

0

answers

5

views

Where is Chapter XVI in Reed&Simon mathematical physics books?

functional-analysis reference-request

asked 14 mins ago eigenvalue 519

0

votes

1

answer

16

views

almost closed mapping

general-topology

answered 16 mins ago Peluso 51

0

votes

1

answer

12

views

Let $a = \sqrt{2 - \sqrt{2}}$. Prove that $\mathbb{Q}(\sqrt{2})$ is a subfield of $\mathbb{Q}(a)$

polynomials field-theory minimal-polynomials

answered 17 mins ago Danny Pak-Keung Chan 6,870

-1

votes

0

answers

12

views

Checking if a recurrence relation converges or not

calculus

asked 17 mins ago your friendly neighbor 85

-1

votes

0

answers

16

views

Is this a violation of Rolle Theorem?

algebra-precalculus rolles-theorem

asked 19 mins ago Noah J. Standerson 209

0

votes

1

answer

28

views

Proposition 17.2 in Loring Tu's An Introduction to manifolds

manifolds smooth-manifolds

modified 21 mins ago Juan Castaño 473

0

votes

0

answers

4

views

Can a segment of a Cartesian Oval be exactly represented as a NURBS curve?

polynomials closed-form rational-functions bezier-curve

asked 22 mins ago shader1201 1

-1

votes

1

answer

17

views

Conditional probability of intersections

probability probability-theory probability-distributions

modified 25 mins ago peaceful breeze 355

0

votes

0

answers

4

views

Figure out relative importance of entity attributes

variance

asked 27 mins ago user9343456 175

1

vote

1

answer

36

views

Proving the existence of square roots

real-analysis proof-explanation

answered 29 mins ago Morgan Rodgers 12.5k

0

votes

0

answers

6

views

Optimal squares to choose in the football square game

random-matrices

asked 30 mins ago Ty Jensen 1,141

0

votes

1

answer

21

views

If the union of infinite sequences of countable sets is countable, then how is the set of subsets of the rational numbers uncountable?

real-analysis

answered 30 mins ago Henno Brandsma 187k

1

vote

0

answers

31

views

Prime counting function in large-ish intervals--two questions/conjectures

elementary-number-theory prime-numbers conjectures

modified 30 mins ago Eric Snyder 406

0

votes

0

answers

9

views

Try to prove a closed form is exact

differential-geometry smooth-manifolds

asked 31 mins ago Zeldovich Yakov 369

1

vote

1

answer

22

views

Leibniz test and $\sum\frac{(-1)^k k^2}{\sqrt{k!}}$

sequences-and-series self-learning

modified 33 mins ago xX A C E Xx 1,178

6

votes

2

answers

62

views

Expand $\frac{\Gamma\left(\frac{x}{2}\right)}{\Gamma\left(\frac{x-1}{2}\right)}$ at $x=\infty$

calculus sequences-and-series taylor-expansion gamma-function laurent-series

modified 36 mins ago Gary 7,998

0

votes

1

answer

17

views

Inverse limit without category theory

category-theory definition differential-topology limits-colimits

answered 38 mins ago Henno Brandsma 187k

1

vote

1

answer

35

views

What is the standard way of showing that some point does not have a countable basis?

general-topology manifolds quotient-spaces

answered 45 mins ago Henno Brandsma 187k

3

votes

8

answers

36k

views

why do we use cosine as the expression of vector dot product?

vectors

modified 45 mins ago steven gregory 23.3k

2

votes

4

answers

112

views

Finding Pythagorean triple where the squares of sides are weighted

number-theory pythagorean-triples

modified 47 mins ago Dávid Laczkó 550

1

vote

0

answers

27

views

Hatcher, topology of cell complexes

general-topology algebraic-topology cw-complexes

modified 50 mins ago Descartes Before the Horse 5,689

0

votes

1

answer

9

views

Rational representation of the additive group $\mathbb{C}$ as an algebraic group

solution-verification representation-theory lie-algebras algebraic-groups

answered 53 secs ago runway44 8,915

1

vote

0

answers

86

views

Diagram chase proof regarding long exact sequence

homological-algebra diagram-chasing

modified 52 mins ago Plom 621

0

votes

1

answer

12

views

Find rational numbers $c_0$, $c_1$, …, $c_{d-1}$ such that $2 a^{-1} - 3 a^6 = c_0 + c_1 a + \cdots + c_{d-1} a^{d-1}$.

abstract-algebra polynomials minimal-polynomials

answered 52 mins ago azif00 14k

0

votes

0

answers

6

views

Fourier series of a complex exponential of a periodic function

complex-analysis fourier-series

asked 53 mins ago TheDorkSide 1

0

votes

0

answers

16

views

Is biconjugate function $f^{**}$ the best approximation of $f$?

convex-analysis approximation

modified 55 mins ago Jinrae Kim 107

0

votes

1

answer

10

views

Standard error and multicollinearity

statistics linear-regression

answered 56 mins ago Amaan M 799

0

votes

0

answers

4

views

The greatest convex minorant approximation for given data

convex-analysis convex-hulls

asked 59 mins ago Jinrae Kim 107

0

votes

0

answers

21

views

$n$ distinct complex roots

complex-numbers solution-verification

asked 1 hour ago JeremyS 107

0

votes

0

answers

14

views

Help with inequality of rank of sum, using the rank of the product

linear-algebra matrices inequality vector-spaces matrix-rank

modified 1 hour ago big_GolfUniformIndia 246

1

vote

2

answers

22

views

Finding Joint PDF of Two Non-Independent Continuous Random Variables

probability-theory statistics probability-distributions

answered 1 hour ago tommik 15.9k

0

votes

1

answer

21

views

Every set has a free abelian group

abstract-algebra

answered 1 hour ago dbossaller 197

1

vote

1

answer

38

views

Local embedding counterexample in topological manifolds

general-topology manifolds

modified 1 hour ago Jose Getino 23

0

votes

0

answers

7

views

Graphing the Map of the Stereographic Projection

graphing-functions cartography

asked 1 hour ago swang 1

0

votes

0

answers

6

views

Find an invertible matrix that satisfies constraints

optimization

asked 1 hour ago DanUCSD 1

2

votes

1

answer

41

views

Every element of a tensor product space can be expressed as a linear combination of tensor products

linear-algebra smooth-manifolds

modified 1 hour ago azif00 14k

2

votes

0

answers

21

views

construction of a rhombus with given conditions

geometry euclidean-geometry plane-geometry geometric-construction

modified 1 hour ago MAGNUM 157

0

votes

0

answers

12

views

Representation of matrices $2 \times 2$ with rotations matrices

linear-algebra matrices eigenvalues-eigenvectors

asked 1 hour ago Mari 219

2

votes

0

answers

19

views

Spivak Prologue, Chapter 2, problem 7: prove $\sum_{i=1}^n k^p$ can always be written as sum of powers of n

algebra-precalculus

asked 1 hour ago evianpring 225

0

votes

1

answer

23

views

Can any random vector $\mathbf{y}$ with covariance matrix $\Sigma$ be represented by $\mathbf{\Sigma}^{1/2}\mathbf{x}$?

probability statistics

modified 1 hour ago Minguk 41

0

votes

1

answer

23

views

How to prove a map $f:R \rightarrow C(X, R)$, defined as $f(t) = v_t$, is an embedding, where $X$ is a tychonoff space and $R$, a real line.

general-topology elementary-set-theory

modified 1 hour ago Henno Brandsma 187k

1

vote

0

answers

13

views

Binary translation zero issue

binary

asked 1 hour ago Denzel Vieta 11

0

votes

0

answers

45

views

Find an explicit bijection from $\mathbb{N}$ to $\mathbb{D}$?

functions logic rational-numbers natural-numbers

modified 1 hour ago Jun Xu 43

0

votes

0

answers

24

views

Sum of xor of all subsets of length less than n?

linear-algebra

modified 1 hour ago user12552749 1

3

votes

0

answers

64

views

+50

Some of approximations related to integrals and elliptic functions

indefinite-integrals special-functions elliptic-integrals elliptic-functions approximate-integration

modified 1 hour ago hd_30102 47

0

votes

1

answer

33

views

homotopic to a constant map

general-topology algebraic-topology

modified 1 hour ago User 873110 172

1

vote

0

answers

38

views

prove a sequence $(f_n(x))_{n=1}^\infty$ converges

real-analysis calculus convergence-divergence

modified 1 hour ago Theo Bendit 31.9k

0

votes

0

answers

16

views

Finding $x_1$ and $x_2$ such that $\sin(m\pi x_1)+\tan(m\pi x_2)=0$

calculus trigonometry roots

modified 1 hour ago nOp 81

1

vote

1

answer

23

views

Cuphead: How many setups (combinations) are possible?

permutations combinations

answered 1 hour ago Henry 68

6

votes

0

answers

57

views

+150

Applying the Normal Equations to solve the Linear Regression Problems.

linear-algebra algorithms linear-regression gradient-descent

modified 1 hour ago Maria Kuznetsov 57

0

votes

1

answer

7

views

Confidence intervals for parameter given two probabilities

probability-distributions statistical-inference confidence-interval estimator

answered 1 hour ago Shubham Johri 14.7k

1

vote

0

answers

44

views

Proving that L1 and L2 have the same theorems.

logic propositional-calculus

modified 1 hour ago Prithu biswas 169

0

votes

2

answers

25

views

Derivation of a recursive binomial coefficient algorithm

recurrence-relations binomial-coefficients recursive-algorithms

answered 1 hour ago Joshua P. Swanson 4,404

0

votes

0

answers

13

views

Prove the space curve doest not have an asymptote

real-analysis proof-writing solution-verification epsilon-delta

modified 1 hour ago Pablo Carneiro Elias 102

0

votes

0

answers

7

views

What choice of morphisms on the category of ordinals yields Hessenberg arithmetic?

category-theory set-theory order-theory ordinals

asked 1 hour ago user76284 3,941

0

votes

0

answers

17

views

What is the looking of a complex function which has certain property.

complex-analysis

modified 2 hours ago maa 21

2

votes

0

answers

23

views

Solving SDE with sign function in drift term?

stochastic-differential-equations

modified 2 hours ago Van Tom 67

0

votes

1

answer

14

views

Sparse linear solver in fortran working with REAL16

numerical-methods

answered 2 hours ago Claude Leibovici 180k

0

votes

0

answers

17

views

Prove that an F-homomorphism is an F-automorphism

abstract-algebra commutative-algebra field-theory

asked 2 hours ago 123 21

3

votes

0

answers

28

views

Is there a general way to convert a continued fraction into a recursive formula?

numerical-methods recurrence-relations exponential-function irrational-numbers continued-fractions

asked 2 hours ago Hal Heinrich 39

1

vote

0

answers

7

views

Term-by-term differentiation for the generating function of the Hermite polynomial

real-analysis power-series generating-functions hermite-polynomials

asked 2 hours ago keisuke 19

0

votes

1

answer

10

views

Finding the set of generators of the ideal $I = (2, 1 + \sqrt{-5})$ of $R = \mathbb Z[\sqrt{-5}]$

linear-algebra abstract-algebra ring-theory ideals

modified 2 hours ago Noah Solomon 1,365

1

vote

1

answer

13

views

Characterizing McDuff Factors in Terms of Central Sequences

operator-algebras von-neumann-algebras

modified 2 hours ago Martin Argerami 161k

5

votes

0

answers

123

views

How could someone conceive of using this inequality for this proof?

real-analysis calculus sequences-and-series

modified 2 hours ago Alann Rosas 1,308

5

votes

0

answers

20

views

Convergence of a Generalized Taylor Expansion

real-analysis sequences-and-series taylor-expansion closed-form

asked 2 hours ago user1337 22.4k

2

votes

0

answers

22

views

Stuck on last step showing that $\mathbb{R}/\mathbb{Z}$ is homeomorphic to $S^1$, and stating what the homomorphism is.

general-topology continuity

modified 2 hours ago Kevin. S 2,060

1

vote

1

answer

20

views

χ 2 distribution with 50 degrees of freedom. Compute approximate value of P(49 < Y < 51). (whole question in body its long)

probability probability-theory probability-distributions

modified 2 hours ago Stacker 1,812

3

votes

1

answer

38

views

Proving $\tan 3^{\circ}$ is irrational

real-analysis trigonometry

modified 2 hours ago Kevin. S 2,060

1

vote

0

answers

12

views

Analyticity of a complex function..

complex-analysis analysis analyticity analytic-functions

asked 2 hours ago user824530 321

0

votes

0

answers

10

views

ARMA(1, 2) model

statistics time-series

asked 2 hours ago Rayan Haidar 1

1

vote

0

answers

25

views

Find $\lim_{n \rightarrow \infty} \sqrt{n} \int_0^{\pi/2} \sqrt{19 \sin^{2n}{x} + 2\cos^{2n}{x} }dx$

real-analysis limits

modified 2 hours ago Jaydeuk 11

1

vote

0

answers

11

views

Solving a third order ODE (hypergeometric differential equation)

ordinary-differential-equations hypergeometric-function

asked 2 hours ago Mr K 111

1

vote

1

answer

16

views

The probabilities of components A, B, C, D and E working are 0.7, 0.7, 0.7, 0.8 and 0.8, respectively. What is the probability that:

probability

modified 2 hours ago null 33

0

votes

0

answers

20

views

upper semi-continuous of fuzzy set

fuzzy-logic fuzzy-set

modified 2 hours ago user809500 13

0

votes

2

answers

17

views

calculating norm for a vector with complex element on it

complex-numbers matrix-equations

modified 3 hours ago JonathanZ supports MonicaC 4,694

0

votes

0

answers

29

views

How can I prove that a sequence driven by white noise is a Markov sequence? [Discrete-time Wiener Process]

conditional-probability independence markov-process random-walk

modified 3 hours ago js9 371

6

votes

0

answers

71

views

355/113 and small odd cubes

pi continued-fractions diophantine-approximation

modified 3 hours ago Jaume Oliver Lafont 4,584

6

votes

0

answers

61

views

Solutions to $A^N+B^N=C^N \pm 1$

number-theory diophantine-equations perfect-powers

modified 3 hours ago tp1 450

0

votes

0

answers

13

views

Closure of set in lexicographical ordered square misunderstanding

general-topology elementary-set-theory

modified 3 hours ago Scott Frazier 475

0

votes

0

answers

16

views

For given $k$ and $N$ ($N>k$), what is the value of $B$ such that ${B\choose \frac{B}{2}}+{{N-B}\choose k-\frac{B}{2}}$ is minimized?

combinatorics optimization combinations

modified 3 hours ago Michael Hardy 248k

0

votes

0

answers

28

views

Any simpler way to solve below complex equation without normal $a+bi$ substitution method?

complex-analysis complex-numbers

modified 3 hours ago Double Knot 61

0

votes

2

answers

24

views

Proving the product topology is discrete iff each component is discrete

general-topology

answered 3 hours ago Brian M. Scott 553k

7

votes

0

answers

98

views

+300

Examples of Finite-Dimensional Space with Non-Vanishing Homology in Higher Dimensions?

algebraic-topology homology-cohomology cw-complexes dimension-theory-analysis continuum-theory

modified 3 hours ago John Samples 1,131

0

votes

1

answer

18

views

Rotation about the y-axis and volume between two-curves.

calculus linear-algebra integration volume solid-of-revolution

answered 3 hours ago Jason F 56

1

vote

0

answers

8

views

(n-1)S distribution as the Wishart random variable

matrices normal-distribution covariance parameter-estimation

asked 4 hours ago Hamed Said 21

0

votes

0

answers

9

views

Ricatti equation solution as a ratio of Bessel functions

ordinary-differential-equations closed-form bessel-functions nonlinear-analysis fundamental-solution

asked 4 hours ago one4one5 1

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